Your design approach is flawed.
Depending on what you meant by "flawed" - pretty much all LDOs are collector- / drain-out.
The design is supposed to be used in a dual supply, so it's preferable (- unless one wants to completly separate supplies, just in one casing -) to have only one additional supply for the regulator circuitry, and one central reference element (for all four (U+, I+, U-, I-) regulators). One also usually wants higher output voltages than the ops can sustain (e.g. the quoted HP has 40 V output swing and something like 50 V before the SPE. My home brew build after the schematics of it outputs 70 V and has about 100 V before the SPE. Can't do that if your op needs to reach "around" the output rails.) And you won't get that with this design.
For a single supply I'd still very much prefer the most stable configuration (i.e. emitter out).